Answer
Draw a circle whose peak is at the point not on the line.
Work Step by Step
To draw the perpendicular line through this point, use a compass. Starting on the original line, draw a circle whose furthest point from the line is at the point off of the line. Then, draw a line perpendicular to the peak of the given circle. This works because the peak of the circle is parallel to the original line, so the line perpendicular to this peak will be perpendicular to the original line.
